A 10 foot ladder is leaning against a house and makes an angle of 67 degree's with level ground. How far is the top of the ladder above the ground.

Question

(round to 10th of a foot)

Answer 1

The ladder is the hypotenuse (or side opposite the 90° angle) in a right triangle.

Here one would simply calculate 10 sine 67° to obtain the height of the ladder's

top over level ground.

Note that (10 cosine 67°)² or square of distance of ladder-foot from wall-bottom +

(10 sine 67°)² or square of distance of ladder-top from ground-point directly below

equals 3.907311285² + 9.205048535² which reduces to 10² or 100.

Then obtain the vertical height of the ladder's top over the level ground as 10 × sine 67° or

9.205048535 feet equivalent to 9.2 feet.